6890785440 has 576 divisors, whose sum is σ = 28899908352. Its totient is φ = 1346273280.

The previous prime is 6890785411. The next prime is 6890785469. The reversal of 6890785440 is 445870986.

It is an interprime number because it is at equal distance from previous prime (6890785411) and next prime (6890785469).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6911022 + ... + 6912018.

It is an arithmetic number, because the mean of its divisors is an integer number (50173452).

Almost surely, 2^6890785440 is an apocalyptic number.

6890785440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6890785440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14449954176).

6890785440 is an abundant number, since it is smaller than the sum of its proper divisors (22009122912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6890785440 is a wasteful number, since it uses less digits than its factorization.

6890785440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 51.

The square root of 6890785440 is about 83010.7549658476. The cubic root of 6890785440 is about 1902.9304216823.

The spelling of 6890785440 in words is "six billion, eight hundred ninety million, seven hundred eighty-five thousand, four hundred forty".